I downloaded the same version 4.1.14 r77440 on my MacBook Pro with OSX 10.6.8 and it works.
After double clicking on VirtualBox.app in /Application folder, it starts.
The processes hierarchy is launchd(root) -> launchd (user) -> Virtualbox (user)

Verifying permissions for “Server HD”
Group differs on “Library”; should be 0, group is 80.
Permissions differ on “Library”; should be drwxr-xr-x , they are drwxrwxr-t .
Permissions differ on “Library/Application Support”; should be drwxr-xr-x , they are drwxrwxr-x .
User differs on “usr/share/collabd/webauthd”; should be 94, user is 221.
Group differs on “usr/share/collabd/webauthd”; should be 94, group is 221.
Group differs on “Library/Java”; should be 0, group is 80.
Permissions differ on “Library/Java”; should be drwxr-xr-x , they are drwxrwxr-x .
Group differs on “Library/Spotlight”; should be 0, group is 80.
Permissions differ on “Library/Spotlight”; should be drwxr-xr-x , they are drwxrwxr-x .
User differs on “usr/share/collabd/webauthd/locales”; should be 94, user is 221.
Group differs on “usr/share/collabd/webauthd/locales”; should be 94, group is 221.
Group differs on “Library/Server/Wiki/FileData”; should be 94, group is 70.
Permissions differ on “Library/Server/Wiki/FileData”; should be drwxrw---- , they are drwxr-x--- .
Permissions differ on “usr/share/devicemgr/frontend/admin/zh_TW.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “usr/share/devicemgr/frontend/admin/zh_CN.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “usr/share/devicemgr/frontend/admin/ko.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “usr/share/devicemgr/frontend/admin/nl.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “usr/share/devicemgr/frontend/admin/it.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “usr/share/devicemgr/frontend/admin/es.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “usr/share/devicemgr/frontend/admin/fr.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “usr/share/devicemgr/frontend/admin/de.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “usr/share/devicemgr/frontend/admin/ja.lproj/app/javascript.js”; should be lrwxrwxrwx , they are lrwxr-xr-x .
Permissions differ on “private/etc/apache2/httpd.conf”; should be -r--r--r-- , they are -rw-r--r-- .
User differs on “Applications/.DS_Store”; should be 0, user is 501.
Permissions differ on “Applications/.DS_Store”; should be -rw-rw-r-- , they are -rw-r--r-- .
Group differs on “Library/Contextual Menu Items”; should be 0, group is 80.
Permissions differ on “Library/Contextual Menu Items”; should be drwxr-xr-x , they are drwxrwxr-x .
Group differs on “Library/Preferences/com.apple.alf.plist”; should be 80, group is 0.
Group differs on “Library/QuickLook”; should be 0, group is 80.
Permissions differ on “Library/QuickLook”; should be drwxr-xr-x , they are drwxrwxr-x .
Permissions differ on “Users”; should be drwxr-xr-x , they are drwxr-x--- .
ACL found but not expected in “Users”
Group differs on “private/etc/hostconfig”; should be 0, group is 20.